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Simplifying 2(u + -7) + -5 = -4(-6u + 3) + -8u Reorder the terms: 2(-7 + u) + -5 = -4(-6u + 3) + -8u (-7 * 2 + u * 2) + -5 = -4(-6u + 3) + -8u (-14 + 2u) + -5 = -4(-6u + 3) + -8u Reorder the terms: -14 + -5 + 2u = -4(-6u + 3) + -8u Combine like terms: -14 + -5 = -19 -19 + 2u = -4(-6u + 3) + -8u Reorder the terms: -19 + 2u = -4(3 + -6u) + -8u -19 + 2u = (3 * -4 + -6u * -4) + -8u -19 + 2u = (-12 + 24u) + -8u Combine like terms: 24u + -8u = 16u -19 + 2u = -12 + 16u Solving -19 + 2u = -12 + 16u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-16u' to each side of the equation. -19 + 2u + -16u = -12 + 16u + -16u Combine like terms: 2u + -16u = -14u -19 + -14u = -12 + 16u + -16u Combine like terms: 16u + -16u = 0 -19 + -14u = -12 + 0 -19 + -14u = -12 Add '19' to each side of the equation. -19 + 19 + -14u = -12 + 19 Combine like terms: -19 + 19 = 0 0 + -14u = -12 + 19 -14u = -12 + 19 Combine like terms: -12 + 19 = 7 -14u = 7 Divide each side by '-14'. u = -0.5 Simplifying u = -0.5
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